Probability & Statistics Flashcards #5
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Questions and Answers

What was Sam's goal for the experiment?

To deliver popcorn with fewer than 8% of the kernels left unpopped, on average.

What power and time settings did Sam determine to be the best combination for popping popcorn?

Power 9 at 4 minutes

What is the null hypothesis (Ho) based on Sam's experiment?

  • Ho: u > 8
  • Ho: u < 8
  • Ho: u ≠ 8
  • Ho: u = 8 (correct)
  • What is the alternative hypothesis (Ha) based on Sam's experiment?

    <p>Ha: u &lt; 8</p> Signup and view all the answers

    Study Notes

    Experiment Overview

    • Sam conducted an experiment to identify the optimal power and time settings for microwave popcorn.
    • The objective was to achieve an average of fewer than 8% unpopped kernels.

    Optimal Settings

    • The best settings were determined to be power level 9 for a duration of 4 minutes.
    • These settings were tested further by popping 8 additional bags of popcorn randomly to validate results.

    Quality Assessment

    • The percentages of unpopped kernels from the additional bags were recorded as follows:
      • 3.7%
      • 10.7%
      • 4.6%
      • 5.8%
      • 6.1%
      • 9.9%
      • 12.3%
      • 4%

    Hypotheses Formulation

    • Null Hypothesis (Ho): The average percentage of unpopped kernels (u) is equal to 8%.
    • Alternative Hypothesis (Ha): The average percentage of unpopped kernels (u) is less than 8%.

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    Description

    Test your knowledge of probability and statistics with this set of flashcards. This quiz focuses on experiments, data analysis, and optimal settings for achieving desired outcomes in statistical experiments. Assess your understanding of quality control and its metrics.

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